A source of sound placed at the open end of a resonance column sends an acoustic wave of pressure amplitude `P_(0)` inside the tube. If the atmospheric pressure is `P_(A)`, then the ratio of maximum and minimum pressure at the closed end of the tube will be

Options

A. `P_(A)/P_(O)`
B. `(P_(A) + P_(O))/(P_(A) - P_(O))`
C. `(P_(A) + 2P_(O))/(P_(A) - 2P_(O))`
D. `sqrt((P_(A) + P_(O))/(P_(A) - P_(O)))`

Answer

B

Explanation

At the closed end of the tube ,
Maximum pressure = Atmospheric pressure
+ Maximum acoustic wave present
` P_("max") = P_(A) + P_(O)`
and minimum pressure `P_("min") = P_(A) - P_(O)`
`:. (P_("max"))/(P_("min")) = (P_(A) + P_(O))/(P- P_(O))`